On the eigenvalues of Laplacian ABC-matrix of graphs

Published in: Quaestiones Mathematicae
Volume 46 , issue 11 , 2023 , pages: 2403–2419

DOI: 10.2989/16073606.2022.2156405

Author(s): Bilal Ahmad Rather United Arab Emirates University, UAE , Hilal A. Ganie , India , Xueliang Li Nankai University, China

Keywords: 05C50 , 05C92 , 15A18 , Adjacency matrix , ABC-matrix , Laplacian ABC-matrix , three distinct eigenvalues , extremal graphs

For a simple graph G, the ABC-index is a degree based topological index and is defined as

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